Optimization of Structure and Material Properties for Solids Composed of Softening Material

Martin P. Bendsøe, J.M. Guedes, Plaxton J.M., J.E. Taylor

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    Recent results on the design of material properties in the context of global structural optimization provide, in analytical form, a prediction of the optimal material tensor distributions for two or three dimensional continuum structures. The model developed for that purpose is extended here to cover the design of a structure and associated material properties for a system composed of a generic form of nonlinear softening material. As was established in the earlier study on design with linear materials, the formulation for combined 'material and structure' design with softening materials can be expressed as a convex problem. However, the optimal distribution of material properties predicted in the nonlinear problem depends on the magnitude of load, in contrast to the case with linear material. Computational solutions are presented for several example problems, showing how the optimal designs vary with different values assigned to data that fix the load and material parameters.
    Original languageEnglish
    JournalInternational Journal of Solids and Structures
    Volume33
    Pages (from-to)1799-1813
    ISSN0020-7683
    Publication statusPublished - 1996

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